{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "根据五个输入单元及两个初始值，构建kalman函数，对Kalman滤波算法进行实现"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "def kalman(Z,A=None,H=None,Q=None,R=None,X0=None,P0=None):\n",
    "    \"\"\"\n",
    "    该函数对Kalman滤波算法进行实现\n",
    "    Z:观测量\n",
    "    A:状态转移矩阵，默认初始化为diag(ncol(Z))\n",
    "    H:观测协方差矩阵，默认初始化为diag(ncol(Z))\n",
    "    Q:系统噪声协方差矩阵，默认初始化为diag(ncol(Z))\n",
    "    R:观测噪声协方差矩阵，默认初始化为diag(ncol(Z))\n",
    "    X0:状态量初始值，默认初始化为diag(ncol(Z))\n",
    "    P0:误差协方差矩阵，默认初始化为diag(ncol(Z))\n",
    "    \"\"\"\n",
    "    dmt = np.identity(Z.shape[1])\n",
    "    A,H,Q,R,X0,P0 = [e if e is not None else dmt for e in [A,H,Q,R,X0,P0]]\n",
    "    X = [X0]\n",
    "    P = [P0]\n",
    "    N = Z.shape[0]\n",
    "    I = np.identity(A.shape[0])\n",
    "    for i in range(N):\n",
    "        # 均方误差的一步预测方程\n",
    "        Pp = np.matmul(np.matmul(A,P[i]),A.T)+Q\n",
    "        # 滤波增益方程（权重）\n",
    "        K = np.matmul(np.matmul(Pp,H.T),np.linalg.inv(np.matmul(np.matmul(H,Pp),H.T)+R))\n",
    "        # 状态的一步预测方程\n",
    "        Xp = np.matmul(A,X[i])\n",
    "        # 滤波估计方程（k时刻的最优值）\n",
    "        X.append(Xp+np.matmul(K,np.identity(Z.shape[1])*Z[i,:]-np.matmul(H,Xp)))\n",
    "        # 均方误差更新矩阵（k时刻的最优均方误差）\n",
    "        P.append(np.matmul(I - np.matmul(K,H),Pp))\n",
    "    return X"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "进一步，调用kalman函数，对canada的全部数据逐期进行Kalman滤波，并生成每期的拟合值序列，最后将拟合值序列与真实值序列进行对比，以分析预测效果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "src_canada = pd.read_csv(\"http://image.cador.cn/data/canada.csv\")\n",
    "val_columns = ['e','prod','rw','U']\n",
    "Z = src_canada[val_columns].values\n",
    "X = kalman(Z)\n",
    "out = []\n",
    "[out.append(np.diag(e)) for e in X[1::]]\n",
    "out = np.array(out)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "# 以下 font.family 设置仅适用于 Mac系统，其它系统请使用对应字体名称\n",
    "matplotlib.rcParams['font.family'] = 'Arial Unicode MS'\n",
    "xts = src_canada[['year','season']].apply(lambda x:str(x[0])+'-'+x[1],axis=1).values\n",
    "fig, axes = plt.subplots(2,2,figsize=(10,7))\n",
    "index = 0\n",
    "for ax in axes.flatten():\n",
    "    ax.plot(range(out.shape[0]),src_canada[val_columns[index]],'-',c='lightgray',linewidth=2,label=\"real\")\n",
    "    ax.set_xticks(range(out.shape[0])[::10])\n",
    "    ax.set_xticklabels(xts[::10],rotation=50)\n",
    "    ax.plot(range(5,out.shape[0]),out[5:,index],'--',c='black',linewidth=2,label=\"predict\")\n",
    "    ax.set_ylabel(\"$\"+src_canada.columns[index]+\"$\",fontsize=14)\n",
    "    ax.legend()\n",
    "    index = index + 1\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
